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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 943 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.76425 ÷ 97 =
  2. 2.24220 ÷ 89 =
  3. 3.14782 ÷ 98 =
  4. 4.94316 ÷ 88 =
  5. 5.76493 ÷ 88 =
  6. 6.8467 ÷ 96 =
  7. 7.87199 ÷ 998 =
  8. 8.921348 ÷ 997 =
  9. 9.96942 ÷ 89 =
  10. 10.450898 ÷ 897 =
  11. 11.56756 ÷ 89 =
  12. 12.2079 ÷ 8 =
  13. 13.88367 ÷ 897 =
  14. 14.125753 ÷ 897 =
  15. 15.15493 ÷ 97 =
  16. 16.961559 ÷ 989 =
  17. 17.67434 ÷ 96 =
  18. 18.173023 ÷ 998 =
  19. 19.6255 ÷ 88 =
  20. 20.51928 ÷ 88 =
  21. 21.2413 ÷ 8 =
  22. 22.23650 ÷ 96 =
  23. 23.2735 ÷ 8 =
  24. 24.985122 ÷ 989 =
  25. 25.4718 ÷ 88 =
  26. 26.52280 ÷ 88 =
  27. 27.567 ÷ 8 =
  28. 28.9511 ÷ 98 =
  29. 29.19716 ÷ 89 =
  30. 30.953561 ÷ 988 =
  31. 31.111063 ÷ 997 =
  32. 32.42633 ÷ 897 =
  33. 33.98661 ÷ 98 =
  34. 34.340932 ÷ 997 =
  35. 35.4770 ÷ 97 =
  36. 36.63884 ÷ 97 =
  37. 37.2886 ÷ 8 =
  38. 38.88257 ÷ 96 =
  39. 39.1964 ÷ 88 =
  40. 40.264744 ÷ 989 =

Answer key

  1. 787 rem 86
  2. 272 rem 12
  3. 150 rem 82
  4. 1071 rem 68
  5. 869 rem 21
  6. 88 rem 19
  7. 87 rem 373
  8. 924 rem 120
  9. 1089 rem 21
  10. 502 rem 604
  11. 637 rem 63
  12. 259 rem 7
  13. 98 rem 461
  14. 140 rem 173
  15. 159 rem 70
  16. 972 rem 251
  17. 702 rem 42
  18. 173 rem 369
  19. 71 rem 7
  20. 590 rem 8
  21. 301 rem 5
  22. 246 rem 34
  23. 341 rem 7
  24. 996 rem 78
  25. 53 rem 54
  26. 594 rem 8
  27. 70 rem 7
  28. 97 rem 5
  29. 221 rem 47
  30. 965 rem 141
  31. 111 rem 396
  32. 47 rem 474
  33. 1006 rem 73
  34. 341 rem 955
  35. 49 rem 17
  36. 658 rem 58
  37. 360 rem 6
  38. 919 rem 33
  39. 22 rem 28
  40. 267 rem 681

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